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200,000 = r * [1 - (1 + 0.025)^(-40) ] / 0.025 First... into fractions: 200,000 = r * [1 - (1 + 1/40)^(-40) ] / (1/40) Division... if you don't do the same): r ≈ 5000 / 0.6275694 r ≈ 7967.24663 (rounded...

Yes, R is a binary relation on A. It's the trivial, minimum relation...reflexivity for the moment; when you get to it below, I think you'll see why. 2. R is symmetric: there are no x, y in A such that xRy but...

... consists of: r = radius measure(magnitude) theta = angle measure(... ( a , ib) is now ( r *cos(theta) , r *sin(theta) Finally: your answer...

I=E/( R + r ) multiply both sides of the equations by ( R + r ): I... subtract r from both sides of the equation: R =(E/I) - r *Note: lol wise guy..you were still right in your first...

Complete the square r ^2 + 3r = 2 ( r + 3/2)^2 - 9/4 = 2 ( r + 3/2)^2 = 2 + 9/4 ( r + 3/2)^2 = 17/4 r + 3/2 = +/- Sqrt 17/4 r = - 3/2 +/- Sqrt 17/4 If you need to go further r = - 3/2 + 2.0615 = 0.5615 r = - 3/2 - 2.0615 = - 3.5615

GL(n, R ) is the group of nxn invertible matrices under matrix multiplication, and... with determinant 1. Now first we have to show that SL(2, R ) is a subgroup of GL(2, R ). Clearly the identity element...

r < 1: By definition of lim sup, for...some N such that for all m N, we have r +ε |Xm|^{1/m} Choose ε small... is compact: i.e., we can write a vector x in R ^p as |x|ω, where ω is a point in S...

R to R means that the function accepts any real number as...that is a real number. A function f is a bijection from R to R if and only if f meets *both* of the following ...